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Lower bounds for the Morse index of complete minimal surfaces in Euclidean 3-space

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Publication:917040
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zbMath0704.53006MaRDI QIDQ917040

Shin Nayatani

Publication date: 1990

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

minimal surfacefinite total curvatureMorse indexGauss mapJacobi operator


Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)


Related Items (5)

Indices of some meromorphic functions of degree \(3\) on tori ⋮ On the topology and index of minimal surfaces. II ⋮ Metrics on a closed surface of genus two which maximize the first eigenvalue of the Laplacian ⋮ Examples of applications of index one ⋮ Index, nullity and flux of \(n\)-noids






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